How many solutions does this linear system have? y is equal to negative 6 x plus 2 negative 12 x minus 2 y is equal to negative 4

Rewrite the second equation, −12x − 2y = −4, by dividing every term by −2 to get 6x + y = 2. Solving for y gives y = −6x + 2, which is exactly the first equation. Both equations describe the same line, so the system has infinitely many solutions; the correct choice is “infinite number of solutions.”

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